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On the Bounds of the Perimeter of an Ellipse

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Abstract

In this paper, we present new bounds for the perimeter of an ellipse in terms of harmonic, geometric, arithmetic and quadratic means; these new bounds represent improvements upon some previously known results.

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Authors and Affiliations

  1. Department of Mathematics, Hangzhou Normal University, Hangzhou, 311121, China

    Tiehong Zhao  (赵鉄洪)

  2. Department of Mathematics, Huzhou University, Huzhou, 313000, China

    Miaokun Wang  (王淼坤) & Yuming Chu  (褚玉明)

Authors
  1. Tiehong Zhao  (赵鉄洪)
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  2. Miaokun Wang  (王淼坤)
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  3. Yuming Chu  (褚玉明)
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Corresponding author

Correspondence to Yuming Chu  (褚玉明).

Additional information

This research was supported by the Natural Science Foundation of China (11971142) and the Natural Science Foundation of Zhejiang Province (LY19A010012).

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Zhao, T., Wang, M. & Chu, Y. On the Bounds of the Perimeter of an Ellipse. Acta Math Sci 42, 491–501 (2022). https://doi.org/10.1007/s10473-022-0204-y

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  • DOI: https://doi.org/10.1007/s10473-022-0204-y

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